What is the answer to 4|7y+2|-8=-7 ?

The answer to 4|7y+2|-8=-7 is y=-9/28 \lor y=-1/4

Solve for y: 4|7y+2|-8=-7

The solution is y=-9/28 \lor y=-1/4

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4 ∣ 7 y + 2 ∣ - 8 = - 7

y = - \frac{9}{28} or y = - \frac{1}{4}

Decimal Notation

y = - 0.32142 \dots, y = - 0.25

Solution steps

4 ∣ 7 y + 2 ∣ - 8 = - 7

Move

8

to the right side

4 ∣ 7 y + 2 ∣ = 1

Divide both sides by

4

∣ 7 y + 2 ∣ = \frac{1}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 y + 2 = - \frac{1}{4} or 7 y + 2 = \frac{1}{4}

7 y + 2 = - \frac{1}{4} or 7 y + 2 = \frac{1}{4}

y = - \frac{9}{28} or y = - \frac{1}{4}

∣ 3 x - 2 ∣ = 2 x + 8

43 = ∣ y - 8 ∣

- 2 ∣ 5 x - 5 ∣ + 4 = - 8

x^{2} - 3 x = - 4 x + 6

∣ 2 c - 13 ∣ = 6

What is the answer to 4|7y+2|-8=-7 ?
The answer to 4|7y+2|-8=-7 is y=-9/28 \lor y=-1/4
Solve for y: 4|7y+2|-8=-7
The solution is y=-9/28 \lor y=-1/4